34187916048 has 160 divisors (see below), whose sum is σ = 103999593600. Its totient is φ = 9540894720.

The previous prime is 34187916029. The next prime is 34187916067. The reversal of 34187916048 is 84061978143.

It is an interprime number because it is at equal distance from previous prime (34187916029) and next prime (34187916067).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3076390 + ... + 3087482.

It is an arithmetic number, because the mean of its divisors is an integer number (649997460).

Almost surely, 2^34187916048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34187916048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51999796800).

34187916048 is an abundant number, since it is smaller than the sum of its proper divisors (69811677552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34187916048 is a wasteful number, since it uses less digits than its factorization.

34187916048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11577 (or 11571 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 34187916048 in words is "thirty-four billion, one hundred eighty-seven million, nine hundred sixteen thousand, forty-eight".